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Finding the Third Proportional to 255,019,887,618 and 558,080,152,074

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Solution

The third proportional to 255,019,887,618 and 558,080,152,074 is: 1,221,290,853,227.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,019,887,618 : 558,080,152,074 = 558,080,152,074 : x
  2. Step 2: Convert to fraction form
    255,019,887,618/558,080,152,074 = 558,080,152,074/x
  3. Step 3: Cross multiply
    255,019,887,618x = 558,080,152,074 × 558,080,152,074
  4. Step 4: Simplify right side
    255,019,887,618x = 311,453,456,138,938,938,818,560
  5. Step 5: Solve for x
    x = 311,453,456,138,938,938,818,560/255,019,887,618
  6. Step 6: Final answer
    x = 1,221,290,853,227.38

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.